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Finding the Fourth Proportional to 536.08, 804.16 and 293.08

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Solution

The fourth proportional to 536.08, 804.16 and 293.08 is: 439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.08 : 804.16 = 293.08 : x
  2. Step 2: Convert to fraction form
    536.08/804.16 = 293.08/x
  3. Step 3: Cross multiply
    536.08x = 804.16 × 293.08
  4. Step 4: Simplify right side
    536.08x = 235,683.21
  5. Step 5: Solve for x
    x = 235,683.21/536.08
  6. Step 6: Final answer
    x = 439.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.